algebra help!?

journeyman can do 1/6 of the job in an hour. apprentice can do 1/8 of the job in an hour.

1/6+1/8 = 14/48 = 7/24

combined rate is 7/24 of the job in an hour.

So to get the whole job done, 1job / (7/24job/hour) = 24/7 hours

24/7 hours

seven hours. this is called the average you add up all the numbers [6+8 = 16] then divide by the number of numbers in this case only two numbers being 8 and 8 so .. [14/2 = 7]

Rate l Time l Work

JourneyM. 1/6 l x l x/6

apprentice 1/8 l x l x/8

X/6 + X/3= 1

LCD: 12

12 [x/6 + x/3]=1 (12)

2x+4x=12

4x=12

4[4x=12]4

x=3

answer: 3 hours

hmm...

if the painter can do the job in 6 hours, then it means in one hour, he can do1/6th of the job...

same with his apprentice who can do 1/8th of the job in one hour...

so, when they work together, they both can do 1/6 + 1/8 = 7/24 part of the job in one hour...

so, they both can finish the job in 24/7 hours...